Quantum tunneling in deep potential wells and strong magnetic field revisited
arXiv:2208.13030
Abstract
Inspired by a recent paper by C. Fefferman, J. Shapiro and M. Weinstein, we investigate quantum tunneling for a Hamiltonian with a symmetric double well and a uniform magnetic field. In the simultaneous limit of strong magnetic field and deep potential wells with disjoint supports, tunneling occurs and we derive accurate estimates of its magnitude. [Lower bound on quantum tunneling for strong magnetic fields. SIAM J. Math. Anal. 54(1), 1105-1130 (2022).]
41 pages; corrected and elaborated the proof of Proposition 6.5